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Finding the Third Proportional to 130,518 and 285,003

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Solution

The third proportional to 130,518 and 285,003 is: 622,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,518 : 285,003 = 285,003 : x
  2. Step 2: Convert to fraction form
    130,518/285,003 = 285,003/x
  3. Step 3: Cross multiply
    130,518x = 285,003 × 285,003
  4. Step 4: Simplify right side
    130,518x = 81,226,710,009
  5. Step 5: Solve for x
    x = 81,226,710,009/130,518
  6. Step 6: Final answer
    x = 622,341.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.